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Finding the Fourth Proportional to 9,195.39, 12,689.82 and 5,003.64

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Solution

The fourth proportional to 9,195.39, 12,689.82 and 5,003.64 is: 6,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.39 : 12,689.82 = 5,003.64 : x
  2. Step 2: Convert to fraction form
    9,195.39/12,689.82 = 5,003.64/x
  3. Step 3: Cross multiply
    9,195.39x = 12,689.82 × 5,003.64
  4. Step 4: Simplify right side
    9,195.39x = 63,495,290.94
  5. Step 5: Solve for x
    x = 63,495,290.94/9,195.39
  6. Step 6: Final answer
    x = 6,905.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.